900645480 has 576 divisors, whose sum is σ = 3704762880. Its totient is φ = 195955200.

The previous prime is 900645461. The next prime is 900645491. The reversal of 900645480 is 84546009.

900645480 is a `hidden beast` number, since 9 + 0 + 0 + 645 + 4 + 8 + 0 = 666.

900645480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×900645480² = 1622324561288860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14764650 + ... + 14764710.

It is an arithmetic number, because the mean of its divisors is an integer number (6431880).

Almost surely, 2^900645480 is an apocalyptic number.

900645480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900645480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852381440).

900645480 is an abundant number, since it is smaller than the sum of its proper divisors (2804117400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

900645480 is a wasteful number, since it uses less digits than its factorization.

900645480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 900645480 is about 30010.7560717820. The cubic root of 900645480 is about 965.7201457760.

The spelling of 900645480 in words is "nine hundred million, six hundred forty-five thousand, four hundred eighty".